On Galois cohomology and realizability of 2-groups as Galois groups II |
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Authors: | Ivo M. Michailov |
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Affiliation: | 1.Faculty of Mathematics and Informatics,Episkop Constantin Preslavski University,Shumen,Bulgaria |
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Abstract: | In [Michailov I.M., On Galois cohomology and realizability of 2-groups as Galois groups, Cent. Eur. J. Math., 2011, 9(2), 403–419] we calculated the obstructions to the realizability as Galois groups of 14 non-abelian groups of order 2 n , n ≥ 4, having a cyclic subgroup of order 2 n−2, over fields containing a primitive 2 n−3th root of unity. In the present paper we obtain necessary and sufficient conditions for the realizability of the remaining 8 groups that are not direct products of smaller groups. |
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